Symplectic geometry and quantum mechanics
This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concen...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2006. |
| Serier: | Advances in Partial Differential Equations
166 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 27 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Symplectic geometry and quantum mechanics, advances in partial differential equations, Maurice de Gosson, Basel, Birkhäuser, 2006, 1 vol. (XX-367 p.), Operator theory, advances and applications, 3-7643-7574-4 • Symplectic Geometry and Quantum Mechanics, Texte imprimé, 9783764391256 • Symplectic geometry and quantum mechanics, advances in partial differential equations, Maurice de Gosson, Basel, Birkhäuser, 2006, 1 vol. (XX-367 p.), Operator theory, advances and applications, 3-7643-7574-4 |
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| 100 | 1 | |a Gosson, Maurice A. de, |d 19..- | |
| 245 | 1 | 0 | |a Symplectic geometry and quantum mechanics |c Maurice Gosson. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Advances in Partial Differential Equations |v 166 |x 2504-3595 | |
| 500 | |a Description d'après consultation du 27 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [355]-363. Index | ||
| 505 | 1 | |a Symplectic Geometry Symplectic Spaces and Lagrangian Planes The Symplectic Group Multi-Oriented Symplectic Geometry Intersection Indices in Lag(n) and Sp(n) Heisenberg Group, Weyl Calculus, and Metaplectic Representation Lagrangian Manifolds and Quantization Heisenberg Group and Weyl Operators The Metaplectic Group Quantum Mechanics in Phase Space The Uncertainty Principle The Density Operator A Phase Space Weyl Calculus | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices. Thus the keys for the mathematical description of quantum mechanics in phase space are discussed. They are followed by a rigorous geometrical treatment of the uncertainty principle. Then Hilbert-Schmidt and trace-class operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudo-differential calculus is extended to phase space in order to derive a Schrödinger equation in phase space whose solutions are related to those of the usual Schrödinger equation by a wave-packet transform. The text is essentially self-contained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology | ||
| 650 | |a Géométrie symplectique | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Problèmes aux limites |x Weyl, Théorie de | ||
| 776 | 0 | |0 109981669 |t Symplectic geometry and quantum mechanics |o advances in partial differential equations |f Maurice de Gosson |c Basel |n Birkhäuser |d 2006 |p 1 vol. (XX-367 p.) |s Operator theory, advances and applications |z 3-7643-7574-4 | |
| 776 | 0 | |t Symplectic Geometry and Quantum Mechanics |b Texte imprimé |z 9783764391256 | |
| 776 | 0 | |0 109981669 |t Symplectic geometry and quantum mechanics |o advances in partial differential equations |f Maurice de Gosson |c Basel |n Birkhäuser |d 2006 |p 1 vol. (XX-367 p.) |s Operator theory, advances and applications |z 3-7643-7574-4 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-QCH7P731-P |z Accès sur la plateforme Istex | |
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